SOLUTION: Hello, thank you for your help. I am trying to find a linear function, D(t), which gives the distance from one place (in miles) to another as a function of time in hours. The

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Hello, thank you for your help. I am trying to find a linear function, D(t), which gives the distance from one place (in miles) to another as a function of time in hours. The       Log On

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Question 1098637: Hello, thank you for your help.
I am trying to find a linear function, D(t), which gives the distance from one place (in miles) to another as a function of time in hours. The scenario is that I start from point A and am heading to point B which is 280 miles away. After 1.5 hours, I have driven 105 miles.
Here's what I've worked through so far: I have created a chart with T (hrs.) on top, and D(distance) on bottom. I know that this is a linear function (constant), so I used the information given to fill in the chart. For every 30 minutes driven, I know that I am going 35 miles (or, 70 MPH), and that it will take me 4 hours total. What I don't know, is how to actually write this in the correct linear format. Is it just: D(t) =105/1.5? Thank you for your help!

Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
If speed is constant, Then distance D and time T give speed R as D%2FT=R. this is the same as D=RT.